Finding the Third Proportional to 101,970.75 and 164,163.75
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Solution
The third proportional to 101,970.75 and 164,163.75 is: 264,288.89
Step by Step Solution
- Step 1: Write the proportion equation
101,970.75 : 164,163.75 = 164,163.75 : x - Step 2: Convert to fraction form
101,970.75/164,163.75 = 164,163.75/x - Step 3: Cross multiply
101,970.75x = 164,163.75 × 164,163.75 - Step 4: Simplify right side
101,970.75x = 26,949,736,814.06 - Step 5: Solve for x
x = 26,949,736,814.06/101,970.75 - Step 6: Final answer
x = 264,288.89
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.